STABILIZATION IN THE SAMPLE-AND-HOLD SENSE OF NONLINEAR RETARDED SYSTEMS

被引：59

作者：

Pepe, P. ^{[1
]}

机构：

[1] Univ Aquila, Dept Informat Engn Comp Sci & Math, I-67100 Laquila, Italy

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2014年 / 52卷 / 05期

关键词：

control Lyapunov-Krasovskii functionals; retarded functional differential equations; stabilization in the sample-and-hold sense; TIME-DELAY SYSTEMS; TRUNCATED PREDICTOR FEEDBACK; FINITE SPECTRUM ASSIGNMENT; INPUT-OUTPUT LINEARIZATION; LINEAR-SYSTEMS; KRASOVSKII FUNCTIONALS; ROBUST STABILIZATION; GLOBAL STABILIZATION; STABILITY; IISS;

D O I：

10.1137/130943182

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of the stabilization in the sample-and-hold sense for fully nonlinear systems with an arbitrary number of arbitrary discrete as well as of distributed time delays is studied. It is shown that steepest descent feedbacks, continuous or not, induced by Lyapunov-Krasovskii functionals in a suitable (large) class, are stabilizers in the sample-and-hold sense. The fact that discontinuities are overcome by the sampling and holding process enlarges greatly the possibility of finding successful controllers for retarded nonlinear systems, by means of control Lyapunov-Krasovskii functionals.

引用

页码：3053 / 3077

页数：25